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Finding the Fourth Proportional to 375,624.90, 518,364.33 and 203,542.93

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Solution

The fourth proportional to 375,624.90, 518,364.33 and 203,542.93 is: 280,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,624.90 : 518,364.33 = 203,542.93 : x
  2. Step 2: Convert to fraction form
    375,624.90/518,364.33 = 203,542.93/x
  3. Step 3: Cross multiply
    375,624.90x = 518,364.33 × 203,542.93
  4. Step 4: Simplify right side
    375,624.90x = 105,509,395,831.60
  5. Step 5: Solve for x
    x = 105,509,395,831.60/375,624.90
  6. Step 6: Final answer
    x = 280,890.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.